(t) have been derived in Example 14.4-3. We get the
Fourier transform of v(t) by adding these two transforms.
but we know that the Fourier transform of a rectangular pulse with a height of Vand
width
τ
is (V
τ
) sin(
ωτ
/2)/(
ωτ
/2). It may easily be shown that this is the same as the result
arrived above.
v(t) and the plot of the real part of its Fourier transform are shown in Fig. 14.4-9.
The imaginary part of Fourier transform is zero.
=
⎡
⎣
⎢
⎤
⎦
⎥
⎡
⎣
⎤
⎦
=
⎡
⎣
⎢
⎤
2
05
05
2054
05
05
sin(.)
(.)
cos(.)
sin(.)
(.)
ω
ω
ω
ω
ω
⎦⎦
⎥
cos(.),05
ω
VjVjVj
jj
()()()
sin(.)
(.)
..
ωω
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